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Finding the Fourth Proportional to 520.66, 780.78 and 277.05

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Solution

The fourth proportional to 520.66, 780.78 and 277.05 is: 415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.66 : 780.78 = 277.05 : x
  2. Step 2: Convert to fraction form
    520.66/780.78 = 277.05/x
  3. Step 3: Cross multiply
    520.66x = 780.78 × 277.05
  4. Step 4: Simplify right side
    520.66x = 216,315.10
  5. Step 5: Solve for x
    x = 216,315.10/520.66
  6. Step 6: Final answer
    x = 415.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.